Question

8 (Picture) CONVERGENT AND DIVERGENT SERIES PLEASE HELP!!

Answer 1

Answer:

The correct answer choice is:   B

Step-by-step explanation:

Culture A

Initial number of cells = 1000

The number of cells is raised by 200 each day and every day thereafter.

So, the number of cells raised in one month(30 days) $=200\times 30=6000$

Thus, the total number of cells in culture A at the end of one month will be:  $1000+6000=7000$

Culture B

Initial number of cells = 1000

The number of cells is increased by 8% each day and every day thereafter.

Formula for exponential growth is:   $A=P(1+r)^t$, where $P=$ Initial amount, $A=$ Final amount, $r=$ Rate of growth in decimal form and $t=$ Time duration.

Using the above formula, the number of cells after 30 days will be.....

$A= 1000(1+0.08)^3^0\\ \\ A=1000(1.08)^3^0= 10062.656...$

That means, Culture B is more effective in promoting cell growth.